Problem

Given that f(x)=x2+3x70 and g(x)=x7, find f(x)g(x) and express the result as a polynomial in simplest form.

Answer

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Answer

\boxed{x^2 + 2x - 63}

Steps

Step 1 :Subtract g(x) from f(x) term by term: f(x)g(x)=(x2+3x70)(x7)

Step 2 :Simplify the expression: x2+3x70x+7=x2+2x63

Step 3 :\boxed{x^2 + 2x - 63}

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